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Geometry

Triangle Centers

Intro

Concept Quizzes

Triangle Centers Warmup
Triangles - Centroid
Triangles - Circumcenter
Triangles - Incenter
Triangles - Orthocenter
Triangle Centers - Problem Solving

Challenge Quizzes

Triangle Centers: Level 2 Challenges
Triangle Centers: Level 3 Challenges
Triangle Centers: Level 4 Challenges

Triangles - Incenter

The incenter of a triangle is the intersection of which 3 lines in the triangle?

Perpendicular Bisector of sides of triangle Angle Bisectors of triangle Altitudes of triangle Medians of triangle

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by Brilliant Staff

Which of the following statements is true about the incenter?

It is the midpoint of the orthocenter and the circumcenter It is equidistant from the sides of the triangle It is equidistant from the midpoints of the sides of the triangle It is equidistant from the vertices of the triangle

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by Brilliant Staff

Which of the following triangles doesn't have the incenter?

Obtuse triangle Acute triangle Right triangle None of these

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by Brilliant Staff

How can we find the point equidistant from all sides in a triangle?

by finding the intersection of the angle bisectors of the triangle by finding the intersection of the medians of the triangle by finding the intersection of the altitudes of the triangle by finding the intersection of the perpendicular bisectors of the sides of the triangle

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by Brilliant Staff

Point $I$ in the diagram above is the incenter of $\triangle{ABC}$ . If $\angle{IAB}=40^\circ$ and $\angle{IBC}=30^\circ$ , what is the measure of $\angle{IBA}$ ?

35^\circ

40^\circ

45^\circ

30^\circ

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by Brilliant Staff

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